Consider the one-to-one function: f(x) = (x - 3)3 + 1. a. Graph this function and explain how you can use a parent function and transformations to do this. Include at least 3 points on this graph and label the points. b. From the graph in part a, graph the inverse f - (x). Explain how you can graph the inverse from the graph in part a (Do not find the equation of the equation at this step) c. Algebraically find the equation for the inverse of f(x). Show all work. d. From your knowledge of transformations, why does your answer in part c match the graph you created in part b